must be converted into tonnes
asked Aug 12, 2017 in Geometry Answers by Rafsan

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

A box shaped vessel 20m x 6m x 2.5m floats at a draft of 1.5m in water of density 1013 kg per cu.m. Find the displacement in tonnes, and the height of the centre of buoyancy above the keel.

Displacement is the weight of water displaced.

Volume of water displaced is V = 20 * 6 * 1.5 = 180 m^3

Density of the water is 1013 kg/m^3

Weight of displaced water is 180 * 1013 = 182,340 kg

Displacement of ship is 182.34 tonnes

Centre of buoyancy is centre of gravity of the displaced water.

Since the displaced water has the shape/volume of a cuboid, then COG is half the draft = 0.75 m

Taking the keel to be the bottommost part of the box,

Height of the centre of buoyancy above the keel is 0.75 m

answered Aug 12, 2017 by Fermat Level 11 User (79,720 points)

Related questions

Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,193 questions
85,287 answers
68,722 users